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Finding the Third Proportional to 276,438 and 416,604

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Solution

The third proportional to 276,438 and 416,604 is: 627,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,438 : 416,604 = 416,604 : x
  2. Step 2: Convert to fraction form
    276,438/416,604 = 416,604/x
  3. Step 3: Cross multiply
    276,438x = 416,604 × 416,604
  4. Step 4: Simplify right side
    276,438x = 173,558,892,816
  5. Step 5: Solve for x
    x = 173,558,892,816/276,438
  6. Step 6: Final answer
    x = 627,840.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.